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Using History to Teach Mathematics
This volume examines how the history of mathematics can find application in the teaching of mathematics itself.
Mathematics, Education and History
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five inte...
Proceedings of the 13th International Congress on Mathematical Education
This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German...
Crossroads in the History of Mathematics and Mathematics Education
The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.
Recent Developments on Introducing a Historical Dimension in Mathematics Education
There has been increased interest in recent years in the use of the history of mathematics in the teaching of mathematics. Many researchers around the world are now conducting empirical studies of the use of history in the mathematics classroom to get more insight into its educational implications. To make these new results available to a wider audience the editors of this book have collected articles stemming from presentations at recent meetings of the International Study Group on the Relations Between History and Pedagogy of Mathematics (the HPM Group), the European Summer University on the History and Epistemology in Mathematics Education (ESU), and the Congress of the European Society for Research in Mathematics Education (CERME). Some of the articles present theoretical perspectives on the use of history, while others give results of empirical studies on how the history of mathematics aided their students in understanding mathematical ideas.
Theory and Practice
This book describes and analyses the history of Dutch mathematics education from the point of view of the changing motivations behind the teaching of mathematics over a 200 year period. During the course of the 19th century, mathematics in the Netherlands developed from a topic for practitioners into a school topic that was taught to almost all pupils of secondary education. As mathematics teaching gradually lost its practical orientation and became more and more motivated on the basis of its supposed formative value, the HBS (Hogere Burgerschool), the Dutch variant of the German Realschule, became the dominant school of thought for mathematics pedagogy. This book examines the gradual development of the field, culminating in the country-wide adoption of Realistic Mathematics Education as the new method of mathematics teaching. This book is important for anyone who is interested in the history of mathematics education. It provides an interesting perspective on the development of mathematics education in a country that, in many aspects, went its own way.
Analysing Historical Mathematics Textbooks
This book is about the creation and production of textbooks for learning and teaching mathematics. It covers a period from Antiquity to Modern Times. The analysis begins by assessing principal cultures with a practice of mathematics. The tension between the role of the teacher and his oral mode, on the one hand, and the use of a written (printed) text, in their respective relation with the student, is one of the dimensions of the comparative analysis, conceived of as the ‘textbook triangle’. The changes in this tension with the introduction of the printing press are discussed. The book presents various national case studies (France, Germany, Italy) as well as analyses of the internationalisation of textbooks via transmission processes. As this topic has not been sufficiently explored in the literature, it will be very well received by scholars of mathematics education, mathematics teacher educators and anyone with an interest in the field.
History in Mathematics Education
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
